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Finding the Fourth Proportional to 228,216.30, 314,914.26 and 126,225.56

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Solution

The fourth proportional to 228,216.30, 314,914.26 and 126,225.56 is: 174,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,216.30 : 314,914.26 = 126,225.56 : x
  2. Step 2: Convert to fraction form
    228,216.30/314,914.26 = 126,225.56/x
  3. Step 3: Cross multiply
    228,216.30x = 314,914.26 × 126,225.56
  4. Step 4: Simplify right side
    228,216.30x = 39,750,228,820.49
  5. Step 5: Solve for x
    x = 39,750,228,820.49/228,216.30
  6. Step 6: Final answer
    x = 174,177.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.